GCD of 693, 909, 306, 508 Calculator

Given Input numbers are 693, 909, 306, 508

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 693, 909, 306, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 909, 306, 508 is 1.

Therefore, GCD of numbers 693, 909, 306, 508 is 1

Given Input Data is 693, 909, 306, 508

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 508 is 2 x 2 x 127

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(693, 909) = 69993

GCD(693, 909) = ( 693 x 909 ) / 69993

GCD(693, 909) = 629937 / 69993

GCD(693, 909) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 306

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(9, 306) = 306

GCD(9, 306) = ( 9 x 306 ) / 306

GCD(9, 306) = 2754 / 306

GCD(9, 306) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 508

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(9, 508) = 4572

GCD(9, 508) = ( 9 x 508 ) / 4572

GCD(9, 508) = 4572 / 4572

GCD(9, 508) = 1

GCD of 693, 909, 306, 508 is 1

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1. What is the GCD of 693, 909, 306, 508?

GCD of 693, 909, 306, 508 is 1

2. Where do I get the detailed procedure to find GCD of 693, 909, 306, 508?

You can find a detailed procedure to find GCD of 693, 909, 306, 508 on our page.

3. How to find GCD of 693, 909, 306, 508 on a calculator?

You can find the GCD of 693, 909, 306, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.